M9502 Didactics of Mathematics 2

Faculty of Science
Autumn 2005
Extent and Intensity
2/2/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Jaromír Šimša, CSc. (lecturer)
RNDr. Jiří Herman, Ph.D. (seminar tutor)
RNDr. Pavel Šišma, Dr. (seminar tutor)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: doc. RNDr. Jaromír Šimša, CSc.
Timetable
Mon 10:00–11:50 N21
  • Timetable of Seminar Groups:
M9502/01: Fri 11:00–12:50 N41, P. Šišma
M9502/02: Wed 8:00–9:50 UM, P. Šišma
M9502/03: Wed 8:00–9:50 U1, J. Herman
Prerequisites (in Czech)
M6520 Algebra 2 && M4522 Geometry 3 && M8501 Didactics of Mathematics 1
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
This course of lectures will be devoted to the systematic exposition of the theory of teaching mathematics on the high-school level. In the introductory part, some questions of general nature will be considered, e.g. the importance of math education, specific features of teaching math and its basic principles. In the main part of the course, the standard topics of the high-school math curriculum in the Czech Republic will be discussed from the didactical point of view. The theoretical explanations will be atttached by solving many sample problems and exercises. Additional forms of teaching gifted pupils will be considered too.
Syllabus
  • Systematic introduction to the didactics of mathematics. Importance of mathematical education. Specific features of teaching math. Aspects of math education in different schools due to their various intending as well as to intellectual skills of their students. Checking and testing of students'; knowledge of mathematics and its marking. Methods of solving math problems. Preparation of students for teaching standard topics of high-school math: Basic notions of set theory, Introduction to mathematical logic, Proofs, Method of induction, Elementary number theory, basic number domains, Complex numbers, Equations and inequalities, Functions and their graphs, Planar and Solid Geometry, Vector algebra, Analytic geometry of linear and quadratic set points, Sequences and Series, Basic notions of probability theory and statistics and their applications, Combinatorics and graph theory, Foundations of Infinitesimal Calculus.
Literature
  • Cyklus učebnic: Matematika pro gymnázia. Praha: Prometheus, 1990-1995.
  • Hejný Milan a kol. Teória vyučovania matematiky 2. Bratislava: Slovenské pedagogické nakladatelstvo, 1989, 554 s.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019.
  • Enrolment Statistics (Autumn 2005, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2005/M9502